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Partial Least Squares Structural Equation Modeling (PLS-SEM) Using R: A Workbook
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This is an open-access step-by-step guide to analyzing PLS models using R, especially using the SEMinR package and with in-depth case studies.
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Trust in leadership and perceptions of justice in fostering employee commitment
González-Cánovas, A., Trillo, A., Bretones, F. D., & Fernández-Millán, J. M. (2024) · Frontiers in Psychology · doi:10.3389/fpsyg.2024.1359581 · Cited by 45
Yin, H., Huang, X., & Zhou, G. (2024) · Behavioral Sciences · doi:10.3390/bs14030157 · Cited by 30
Khattib, H., & Alt, D. (2024) · Education and Information Technologies · doi:10.1007/s10639-024-12635-w · Cited by 23
Factors Influencing Purchase Intention toward Recycled Apparel: Evidence from China
Jin, X., Omar, A., & Fu, K. (2024) · Sustainability · doi:10.3390/su16093633 · Cited by 33
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“Doing so acknowledges the newness and little-researched nature of the fi eld and is particularly appropriate when there is “ no or only little prior knowledge on how the variables are related ” (Hair et al. 2021, p. 3).”
Wandira, R., Fauzi, A., & Nurahim, F. (2024) · Journal of Information Systems Engineering and Business Intelligence · doi:10.20473/jisebi.10.2.179-190 · Cited by 22
“Additionally, a good construct reliability scale, measured by CA and CR, needed a minimum of 0.7 [71].”
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Wang, S., Sun, W., Liu, J., Nah, K., Yan, W., & Tan, S. (2024) · Applied Sciences · doi:10.3390/app14167169 · Cited by 25
Tu, H.-Y., & Lee, S. W. (2024) · Journal of Educational Computing Research · doi:10.1177/07356331241277904 · Cited by 22
“CR values and the Cronbach ’ s alpha values were tested for verifying the internal consistency of the indicators of each construct for reliability (Hair et al., 2021).”
InfluentialHossain, M. E., & Biswas, S. (2024) · SN Business & Economics · doi:10.1007/s43546-024-00754-y · Cited by 24
Perano, M., Aisha, R., Channa, N. A., & Casali, G. L. (2024) · Total Quality Management & Business Excellence · doi:10.1080/14783363.2024.2430258 · Cited by 26
“As the focus of this study is prediction, PLS-SEM is more appropriate (Hair et al., 2021; Ringle et al., 2020; Henseler et al., 2009).”
Testa, R., Vella, F., Rizzo, G., Schifani, G., & Migliore, G. (2024) · Journal of Cleaner Production · doi:10.1016/j.jclepro.2024.144358 · Cited by 37
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“Path models and hypotheses propose both causal explanations and significant managerial implications that depend on their accurately predicted outcomes, the reason for this being that they have causal links (Franke & Sarstedt, 2019; Hair et al., 2021).”
InfluentialLim, J. S., & Zhang, J. (2025) · Journal of Public Relations Research · doi:10.1080/1062726x.2025.2494517 · Cited by 27
“The VIF values for the three items were 3.976, 4.541, and 1.717, all below the recommended threshold of 5 (Hair et al., 2021a, 2021b).”
InfluentialObeng, H. A., Gyamfi, B. A., Arhinful, R., & Mensah, L. (2025) · Societies · doi:10.3390/soc15050132 · Cited by 30
Yu, T., Teoh, A. P., Liao, J., & Wang, C. (2025) · Technology in Society · doi:10.1016/j.techsoc.2025.102949 · Cited by 24
Measuring the key components of the user experience in immersive virtual reality environments
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Gao, H., Mamun, A. A., Masukujjaman, M., & Yang, Q. Y. (2025) · Humanities and Social Sciences Communications · doi:10.1057/s41599-025-05071-9 · Cited by 22
“However, ignoring this may lead to unreliable results (Hair et al. 2021).”
InfluentialLu, Y., Mi, G., Lu, H., & Wang, Y. (2025) · Buildings · doi:10.3390/buildings15193481 · Cited by 30
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Traffic and Climate Impacts on Rutting and Thermal Cracking in Flexible and Composite Pavements
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Shahzalal, M., & Adnan, H. M. (2022) · Sustainability · doi:10.3390/su14169822 · Cited by 28
Li, B., Hou, F., Guan, Z., & Chong, A. Y. (2022) · Information Technology and People · doi:10.1108/itp-04-2021-0264 · Cited by 28
Relationship between lean manufacturing tools and their sustainable economic benefits
Díaz-Reza, J. R., García-Alcaráz, J. L., Figueroa, L. J. M., Puig, R., & Muro, J. C. S. D. (2022) · The International Journal of Advanced Manufacturing Technology · doi:10.1007/s00170-022-10208-0 · Cited by 22
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Khan, M. N., Shahzad, K., Ahmad, I., & Bartels, J. (2022) · Current Psychology · doi:10.1007/s12144-022-04120-9 · Cited by 22
The Effect of Airbnb Users’ Regret on Dissatisfaction and Negative Behavioral Intention
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Chung, C., & Pan, H.-L. W. (2023) · Sustainability · doi:10.3390/su15020983 · Cited by 36
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Almufarreh, A. (2023) · Systems · doi:10.3390/systems11060292 · Cited by 35
Predicting Public Willingness to Use Autonomous Shuttles: Evidence from an Emerging Economy
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Sangari, M. S., & Mashatan, A. (2023) · Psychology and Marketing · doi:10.1002/mar.21935 · Cited by 31
Rahimi, A. R., & Mosalli, Z. (2024) · Journal of Computers in Education · doi:10.1007/s40692-023-00307-6 · Cited by 29
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An application of the COA Framework: Building a sound foundation for organizational resilience
Shela, V., Danks, N. P., Ramayah, T., & Ahmad, N. H. (2024) · Journal of Business Research · doi:10.1016/j.jbusres.2024.114702 · Cited by 22
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“The calculation of predictive power for endogenous variables involves ensuring that the calculated predictive power coefficients (Q 2 ) are greater than zero, indicating that the model has predictive power for endogenous variables (Hair et al., 2021).”
InfluentialSeker, O., Kwon, K., & Kocak, O. (2025) · Information Development · doi:10.1177/02666669251336368 · Cited by 21
Demsash, A. W., Kalayou, M. H., & Walle, A. D. (2024) · BMC Medical Education · doi:10.1186/s12909-024-05680-z · Cited by 21
“The square root of the AVE in the diagonal elements must be greater than the entire corresponding columns and rows to satisfy the discriminant validity [104].”
BackgroundInfluentialVu, T. H., & Ngo, T. T. (2023) · Cogent Business & Management · doi:10.1080/23311975.2023.2208425 · Cited by 21
Vasli, P., & Asadiparvar-Masouleh, H. (2023) · Journal of Taibah University Medical Sciences · doi:10.1016/j.jtumed.2023.11.004 · Cited by 26
Will sensory impressions drive the intention to revisit? An empirical study in the rural tourism
Lu, W., Low, M. P., & Mun, Y. W. (2024) · Journal of Travel & Tourism Marketing · doi:10.1080/10548408.2024.2318432 · Cited by 21
Fu, C., Wang, J., Qu, Z., Skitmore, M., Yi, J., Sun, Z., & Chen, J. (2024) · Sustainability · doi:10.3390/su16093824 · Cited by 21
Shebeshe, E. N., & Sharma, D. (2024) · Future Business Journal · doi:10.1186/s43093-024-00332-6 · Cited by 21
“In addition, Hair et al. [81] have suggested that the off-diagonal values of latent variable correlations should be smaller than the diagonal values (Table 4).”
InfluentialOnline informal learning of English and receptive vocabulary knowledge: Purpose matters
Lai, C., & Wang, Q. (2024) · ReCALL · doi:10.1017/s095834402400017x · Cited by 35
Stimulation of Purchase Behavior Toward Biodegradable Bags: The Role of Green Skepticism
Le, N., & Hoa, N. T. L. (2024) · Emerging Science Journal · doi:10.28991/esj-2024-08-03-04 · Cited by 21
Nayak, P. M., Nayak, M., & Joshi, H. (2024) · Cogent Social Sciences · doi:10.1080/23311886.2024.2382283 · Cited by 26
“…the results presented in table 2 indicate that ViF values for all constructs were below 3.3, suggesting the absence of collinearity between predictor variables in the model (hair et al., 2021). to evaluate the individual reliabilities of items, standardized factor loadings (SFl) were employed.”
InfluentialYang, Q. Y., Mamun, A. A., Long, S., Gao, J., & Ali, K. A. M. (2024) · Humanities and Social Sciences Communications · doi:10.1057/s41599-024-03501-8 · Cited by 21
“Additionally, Cronbach ’ s alpha, composite reliability, and Dijkstra-Henseler ’ s rho values for all items exceeded 0.7, demonstrating the internal consistency of these items (Hair et al., 2021).”
InfluentialMu, R., Sengura, J. D., & Zhang, J. (2024) · Journal of theoretical and applied electronic commerce research · doi:10.3390/jtaer19030098 · Cited by 36
Bronzo, M., Barbosa, M. W., de Sousa, P. R., Júnior, N. T., & de Oliveira, M. P. V. (2024) · Administrative Sciences · doi:10.3390/admsci14080181 · Cited by 25
“Although the Fornell and Larcker (1981) test has traditionally been used to assess discriminant validity in SEM, recent research (Hair et al. 2021; Henseler et al. 2015; Radomir and Moisescu 2019) has shown that this test might be not reliable for identifying discriminant validity problems in…”
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Mahboub, R., & Ghanem, M. G. (2024) · Cogent Business & Management · doi:10.1080/23311975.2024.2404484 · Cited by 21
“this research was based on the PLS - SEM to test the ‘research models’ (hair et al., 2021). it has been considered suitable for this research due to its flexibility and the research models are complex and composite structures (Benitez et al., 2020). it is built on two phases: ‘measurement model…”
Kumar, S., & Kumar, S. (2024) · Journal of Internet Commerce · doi:10.1080/15332861.2024.2421731 · Cited by 29
“Additionally, internal consistency was confirmed, with all Composite Reliabilities (C.R.) exceeding the 0.80 threshold (Hair et al. 2021) and Cronbach’s alpha values surpassing 0.7.”
InfluentialZheng, S., Guo, Z., Liao, C., Li, S., Zhan, X., & Feng, X. (2025) · Current Psychology · doi:10.1007/s12144-025-07358-1 · Cited by 21
“In addition, we further assessed the structural model and verified the research hypotheses via the coefficient of deter - mination ( R 2 ), the blind-based cross-validation redundancy measure ( Q 2 ), and the statistical significance of the path coefficients, as suggested by Hair et al. ( 2021 ).”
Storytelling in Travel Vlogs: Scale Development, Validation, and Application
Li, M. W., Kim, Y. R., Liu, A., Scarles, C., & Chen, J. L. (2025) · Journal of Travel Research · doi:10.1177/00472875241312178 · Cited by 32
“The number of samples drawn in the boot-strapping procedure was set to 10,000 to ensure the stability of the results (Hair et al., 2021).”
Garcia, K. F., Ong, A. K. S., Gumasing, M. J. J., & Reyes, C. R. V. D. (2025) · Acta Psychologica · doi:10.1016/j.actpsy.2025.105004 · Cited by 31
Unlocking e-commerce potential in SMEs: an integrative framework for adoption in emerging markets
Indiani, N. L. P., Keshminder, J. S., Wiratama, N. I., & Amertha, G. S. (2025) · Humanities and Social Sciences Communications · doi:10.1057/s41599-025-04952-3 · Cited by 21
“This method was selected due to the complexity of the model and the study ’ s predictive and exploratory nature (Hair et al. 2021).”
InfluentialNeiroukh, N., & Çağlar, D. (2025) · Systems · doi:10.3390/systems13070537 · Cited by 43
The impact of artificial intelligence on accounting practices: an academic perspective
Alruwaili, T. F., & Mgammal, M. H. (2025) · Humanities and Social Sciences Communications · doi:10.1057/s41599-025-05004-6 · Cited by 40
“We then further evaluated the structural model employing the techniques provided by Hair et al. (2021) to analyze the hypothesized relationships among the constructs.”
InfluentialBalaskas, S., Konstantakopoulou, M., Yfantidou, I., & Komis, K. (2025) · Societies · doi:10.3390/soc15080232 · Cited by 21
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“Since, PLS-SEM allows for the analysis of the reflective and formative models (Coltman et al., 2008; Hair et al., 2021b), the novice researcher should observe whether the respective model is the reflective model, formative model or contains the combination of both reflective and formative…”
InfluentialJuan, Y., Lee, Y., & Wu, J. (2026) · Computers & Education · doi:10.1016/j.compedu.2026.105564 · Cited by 32
Senanu, B., & Narteh, B. (2022) · Journal of Financial Services Marketing · doi:10.1057/s41264-021-00135-8 · Cited by 24
Zhu, C. Z. G., Fong, L. H. N., Shang, Z., & Gan, M. (2022) · Sustainability · doi:10.3390/su14042349 · Cited by 21
Habib, S., Haider, A., Suleman, S. S. M., Akmal, S., & Khan, M. A. (2022) · Electronics · doi:10.3390/electronics11071113 · Cited by 21
Extending Theory of Planned Behavior to Understand Service-Oriented Organizational Citizen Behavior
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Special Education Teachers of Color Retention Decisions: Findings From a National Study
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The Factors of E-Government Service Quality in Kuwait During the Coronavirus Disease 2019 Pandemic
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Evaluation of Public Transport among University Commuters in Rural Areas
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E-Learning Readiness Assessment Using Machine Learning Methods
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Exploring travelers’ readiness to adopt cryptocurrency payment (vs mobile payment)
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Investment and sustainability: CSR, SDGs and the ESG Score in Indonesia
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Metadata
- Authors
- Hair, J. F., Hult, G. T. M., Ringle, C. M., Sarstedt, M., Danks, N. P., & Ray, S.
- Affiliations
- University of South Alabama (US)
- Hamburg University of Technology (DE)
- Otto-von-Guericke-Universität Magdeburg (DE)
- Trinity College Dublin (IE)
- National Tsing Hua University (TW)
- ORCID
- Venue
- Classroom Companion: Business
- Publisher
- Springer International Publishing
- Published
- 2021
- ISSN
- 2662-2866 (ISSN-L)
- 2662-2874
- OpenAlex
- W3210383951
- Cited by
- 10,343
- References
- 171
- Citations by year
- 2026: 3947 · 2025: 2779 · 2024: 1862 · 2023: 1196 · 2022: 498 · 2021: 60
- FWCI
- 418.20
- Type
- book
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Classroom companion: business (publishedVersion, cc-by)
- Directory of Open access Books (OAPEN Foundation) (submittedVersion, other-oa)
- Trinity's Access to Research Output (TARA) (Trinity College Dublin) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- partial least squares structural equation modeling, PLS-SEM, R programming language, structural equation modeling, case studies
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